Mathematics High School

Which statement is true about the graphs of the two lines y=-x+2 and y=-x- ?
O The lines are perpendicular to each other because - and - are opposite reciprocals of each other.
The lines are perpendicular to each other because 2 and - 1 are opposite reciprocals of each other.
O The lines are neither parallel nor perpendicular to each other because - and are not opposite reciprocals
of each other.
The lines are neither parallel nor perpendicular to each other because 2 and - 3 are not opposite reciprocals of
each other.

Answers

Answer 1

Answer:

The correct option is Option C

Step-by-step explanation:

We are given the lines: [tex]y=-\frac{4}{5}x+2 \ and \ \ y=-\frac{5}{4}x-\frac{1}{2}[/tex]

The lines are perpendicular if they have opposite slopes i,e [tex]m_1=-\frac{1}{m_2}[/tex]

In line 1 the slope is [tex]-\frac{4}{5}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-4/5)

In line 2 the slope is [tex]-\frac{5}{4}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-5/4)

The opposite reciprocal of -4/5 is 5/4

So, the lines are not perpendicular as their slopes are not opposite reciprocal of each other.

If the lines are parallel there slope must be same. Hence lines are not parallel as well.

So, The correct option is Option C

Answer 2

Answer:

Step-by-step explanation:

Related Questions

Question : If lines BG and CF are parallel, then OLF = OMG. Is this statement correct? Explain your answer.

Answers

Answer:

Yes this statement is correct.

Step-by-step explanation:

just mental math

The statement given that ∠OLF = ∠OMG is found to be; Correct from theorem of corresponding angles.

We are told that;

BC is parallel to CF

Now, we are told that;

∠OLF = ∠OMG

We can see that line DH is a transverse line that crosses the two parallel lines given as BG and CF

Now, according to theorem of corresponding angles, the angle's that are formed when two parallel lines are crossed by a transverse line are said to be equal because they correspond to one another.

In conclusion, it is true from corresponding angles that ∠OLF and ∠OMG are equal.

Read more about corresponding angles at; https://brainly.com/question/12054594

Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of jocelyns estimate?

Answers

Answer:

12%

Step-by-step explanation:

So 5.5 to 5.62 is .12

Then calculate the difference of 5.5 *.12=0.66

Then do “0.66 is what percent of 5.5?”

The answer is 12%

Thank you for reading, and mark this brainliest

can someone help me with this?

Answers

R: -4,-3
S: -3,1
T: 1,-2
U: stays the same
((:

At the bookstore, Tim bought a magazine for $4, and five books that all cost the same amount. He spent a total of $129. Which equation expresses how much each book cost?

Answers

Answer:

25(b) + 4 = 129

Step-by-step explanation:

b=5

25(5) + 4=129

Lashonda has bought 18 pounds of dog food. She feeds her dog 2/3 pounds for each meal. For how many meals will the food last? Write your answer in simplest form.

Answers

Answer:

she have feed 26 or 27

Step-by-step explanation:

I am confused it's 26 or27

sports drinks- $1.75
pizza- $2.25

Answers

Answer:

7 drinks

Step-by-step explanation:

7x1.75=12.25

4 x 2.25= 9

added - 21.25

carrie and joel plan to sell apple pies at the county fair for $6 each. the ingredients they used cost $3.75 per pie. they rent an oven for $54 to keep the pies hot throughout the day. how many pies must carrie and joel sell in order to break even?

Answers

Answer:

24 pies

Step-by-step explanation:

Let x represent the number of pies and set up an equation:

6x = 3.75x + 54

Solve for x:

6x = 3.75x + 54

2.25x = 54

x = 24

So, Carrie and Joel have to sell 24 pies to break even

Help me I don't know how to find the percent of discount to the nearest percent

Find the percent of discount to the nearest percent.

skateboard: regular price, $24
sale price, $15.50

help. PLEASE.

Answers

Answer:8.5

Step-by-step explanation:

Answer:

step one

find the difference between marked price and the selling price, which is 24-15.50=8.5

step two apply the formula which is, difference divided by marked or original price and then multiple by 100

eg (8.5÷24) × 100= 35.4

so now round off to the nearest percent that's 35%

For f(x) = 5x and g(x)= x + 9, find
(fog)(x); b. (gof)(x); (fog)(3)
a.
C.
a.
(fog)(x)=
(Simplify your answer.)

Answers

Answer:

(fog)(x) = 5x+45(gof)(x) = 5x+9(fog)(3) = f(g(3)) = f(12) = 60

Step-by-step explanation:

Given

f(x) = 5xg(x) = x + 9

Finding (fog)(x)

(fog)(x) = f(g(x))

(fog)(x) = f(x+9)

(fog)(x) = 5(x+9) ∵ substitute x as x+9 in the f(x)

(fog)(x) = 5x+45

Finding (gof)(x)

(gof)(x) = g(f(x))

(gof)(x) = g(5x)

(gof)(x) = 5x+9 ∵ substitute x as 5x in the g(x)

Finding (fog)(3)

(fog)(3) = f(g(3))

substitute x = 3 in the g(x)=x+9

g(x) = x+9

g(3) = 3+9

g(3) = 12

(fog)(3) = f(g(3)) = f(12)

now substitute x = 12 in f(x) = 5x

f(x) = 5x

f(12) = 5(12)

f(12) = 60

Thus,

(fog)(3) = f(g(3)) = f(12) = 60

what is 9 divided by 3 plus for times 6 plus 8

Answers

Answer: 50

Step-by-step explanation: 9 divided by 3 plus 4 times 6 plus 8 equals 50

Answer:

Step-by-step explanation:

9 ÷ 3 + 4 · 6 + 8

Do 9 ÷ 3 first

Plug this value back into the equation

3 + 4 · 6 + 8

Do 4 · 6 next

Plug this value back into the equation

3 + 24 + 8

Add 3 to 24

Plug this value back into the equation

27 + 8

Add

Hope this helps :)

Please consider Brainliest :)

A store has x number of shirts. Each shirt was sold for $16, but the last dozen was sold on sale for $14 each. When all shirts were sold, the store gained $616. Find the number of shirts sold at the regular price.

Answers

Answer:

28 shirts

Step-by-step explanation:

Let's see what we are given.

there are x amount of shirts ($616 total)

there are 12 in a dozen

the regular shirts are $16

the last 12 shirts are $14

Lets make an equation.

616= 14(12) + 16x

616=168+16x

448=16x

x=28

(Sorry if this explanation is bad)

Which system of inequalities describes the graph?

Answers

Answer:

It Would be C (the third one)

Step-by-step explanation:

Please mark me Brainlyest PLZ

There are 4 squares and 10 circles. What is the simplest ratio of squares to circles ? Pleaseeee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

2:5

Step-by-step explanation:

Simplify

PLEASE HELP ASAP!
log base4(x^2+x+4)=2 solve for x

Answers

Step-by-step explanation:

multiply all the numbers by 4 I think except for the exponent

Answer:

i-i13/2 hope this helps

Step-by-sitep explanation:

Plz need help rn What is m

Answers

Answer:

measure of angle p=

Step-by-step explanation:

ok 5 sided polygon= 540

so put all of those equal to 540

need to find x first

540=132+(4x-10)+(5x-11)+128+(4x+2)

simplify and combine like terms

x=23

now plug in for angle p

(4(23)+2)

Finish the proof plz.

Answers

9514 1404 393

Explanation:

Here are the reasons:

GivenDefinition of a rectangleDefinition of a rectangleLL theorem for congruence of right trianglesCPCTC (corresponding parts of congruent triangles are congruent)

18.
The perimeter of a rectangle is 42 inches. The length of the rectangle can be represented by x + 4 and its width can be represented by 2x minus 7. What is the width of the rectangle in inches?

8

9

12

10.3

Answers

p=2(l+b) =2(3x-3) =6x=48=x=8

Answer: It’s 8

Step-by-step explanation:

Please answer fast
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Norma is a salon owner. Yesterday, she did 1 haircut and colored the hair of 2 clients, charging a total of $217. Today, she did 2 haircuts and colored the hair of 1 client, charging a total of $155. How much does Norma charge for her services?

Answers

Answer:

A haircut costs $31

Coloring hair costs $93

Step-by-step explanation:

h = haircut

c = color

First equation: 1h + 2c = 217

Second equation: 2h + 1c = 155

Solve using elimination:

First, multiply both the equations so that they cancel the h's out:

First equation:

-1(2h + 1c = 155)

-2h - 1c = -155

Second equation:

2(1h + 2c = 217)

2h + 4c = 434

Then, put the equations together, and solve:

2h + 4c = 434

-2h - 1c = -155

3c = 279

c = 93

Find h:

2h + 1c = 155

2h + 1(93) = 155

2h + 93 = 155

2h = 62

h = 31

Hope this helped!

What’s the slope of the line that passes through (-9, -4) and (6, 15).

Answers

19/15, look at the attachment for work

Bianca walked
Which turtle has the fastest speed?
Michele walced
The speed of a turtle can be found by
distance by time
Vis the fastest turtle
The speed of the fastest turtle is centimeters per
minute.
Siema walked
18 min 6 minutes
Help me I’m stuck on this problem ok

Answers

Answer: The speed of the turtle can be found by dividing distance by time.

Michelle is the fastest turtle.

The fastest turtle is 6cm per minute

First turtle walks 3cm a minute

Second turtle walks 6cm a minute

Third turtle also walks 3cm a minute

its d b and d

hope this help a lot of people thank you for the points also have a good day

Can someone do this please

Answers

ok so umm you need to do 5x4= 20 and divide 20 and 4 you get 5 and multiply 5x4 you get 20 and the answer is 20

Geometry...Please help as soon as possible please and Thank you so much!

Answers

Answer:

Step-by-step explanation:

Statement1. ∠KJL ≅∠LMK (A)

Reason1. Given

Statement2. ∠JKL≅∠MLK (A)

Reason2. Given

Statment3. KL≅KL (S)

Reason3. Reflexive propriety

Statemnt 4. ΔJKL≡ΔLMK

Reason 4. AngleAngleSide congruency theorem

Show work too I’ll mark you brainlist hurry lol

Answers

Answer:

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

[tex]e(x)=\frac{1}{5}x\\\\e(5)= \frac{1}{5}*5\\\\\boxed{e(5)=1}[/tex]

Hope this helps.

What is the area of rectangle CDEF?
Area= ...square units

Answers

Step-by-step explanation:

I think it's 48 square units

if m*n=-12 and m+n=11 what is m? what is n?
x^2+11x-12=(x+m)(x+n)

Answers

Answer:

i think its -10

Step-by-step explanation:

hope im not wrong

Which statement describes a ratio?

Answers

answer c cause its comparing im pretty sure

2) How old am I if 300 reduced by 4 times my age is 44?

Answers

Answer:

Step-by-step explanation:

300 -4x = 44

(300 - 44)/4= 64

check

64 x 4 =256

300 - 256 = 44

Anyone know??
8. What is the slope of the line that passes through the pair of points? (3.-4), and (6.-9)? (1 point)

Answers

Answer:

-5/3

Step-by-step explanation:

y2-y1 -5

--------- = ---

x2-x1 . 3

If a class of 30 students have to split the boys and girls in hafe and 10% are girls, how meany girls are in the class

Answers

Answer:

10 girls

Step-by-step explanation:

please help i dont want to fail

Answers

Answer: -2.2

Step-by-step explanation:

Answer:

-3/5 which is the third line between 0 and -1 if you're going back from 0.

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